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http://hdl.handle.net/11375/20601
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Wang, Mckenzie | - |
dc.contributor.author | Chiu, Vincent | - |
dc.date.accessioned | 2016-10-05T18:40:04Z | - |
dc.date.available | 2016-10-05T18:40:04Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://hdl.handle.net/11375/20601 | - |
dc.description.abstract | This dissertation explores numerical solutions for the cohomogeneity one Einstein and Ricci soliton equations when the principal orbits are SU(3)/T^2 and Sp(3)/Sp(1)^3. We present new numerical evidence for steady, expanding solitons as well as Einstein metrics with positive scalar curvature. In the case of steady solitons we produced a one-parameter family of solutions. In the expanding case, we generated a two-parameter family of solutions and in particular in the negative Einstein case we generated a one-parameter family of solutions. In the compact Einstein case we found numerical evidence for an in nite number of Einstein metrics. | en_US |
dc.language.iso | en | en_US |
dc.subject | Differential Geometry | en_US |
dc.title | A numerical study of cohomogeneity one manifolds | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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chiu_vincent_finalsubmission201609r_MSc.pdf | 1.46 MB | Adobe PDF | View/Open |
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